Analytical Treatment of the Generalized Hirota‐Satsuma‐Ito Equation Arising in Shallow Water Wave

Fan Yong-Yan, Jalil Manafian, Syed Maqsood Zia, Dinh Tran Ngoc Huy and Trung-Hieu Le

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: In the current study, an analytical treatment is studied starting from the (2 + 1)‐dimensional generalized Hirota‐Satsuma‐Ito (HSI) equation. Based on the equation, we first establish the evolution equation and obtain rational function solutions by means of the bilinear form with the help of the Hirota bilinear operator. Then, by the suggested method, the periodic, cross‐kink wave solutions are also obtained. Also, the semi‐inverse variational principle (SIVP) will be utilized for the generalized HSI equation. Two major cases were investigated from two different techniques. Moreover, the improved tan(χ(ξ)) method on the generalized Hirota‐Satsuma‐Ito equation is probed. The 3D, density, and contour graphs illustrating some instances of got solutions have been demonstrated from a selection of some suitable parameters. The existing conditions are handled to discuss the available got solutions. The current work is extensively utilized to report plenty of attractive physical phenomena in the areas of shallow water waves and so on.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2021/1164838

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:1164838

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().